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Finding the Fourth Proportional to 1,282.20, 1,919.19 and 665.06

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Solution

The fourth proportional to 1,282.20, 1,919.19 and 665.06 is: 995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.20 : 1,919.19 = 665.06 : x
  2. Step 2: Convert to fraction form
    1,282.20/1,919.19 = 665.06/x
  3. Step 3: Cross multiply
    1,282.20x = 1,919.19 × 665.06
  4. Step 4: Simplify right side
    1,282.20x = 1,276,365.66
  5. Step 5: Solve for x
    x = 1,276,365.66/1,282.20
  6. Step 6: Final answer
    x = 995.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.